Should I open port 22 and port 80?

I've been at Digital Ocean for 6 months. However, I don't want to pay anymore and want to start my own server from home. (This is also for educational purposes. In this way I can lea how to maintain a server)

I think if I open port 80 people can easily see what I am searching on the web (Man in the middle attack). Should I open my port? How should I secure the server if so? I know about fail2ban and rootkit hunter.

I don't have a lot of experience on setting up a home server and opening all the ports.

It would be awesome if someone could tell me if I should do it and how I should do it.

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